Convert 40° 20′ into radian measure. - Vidyadip

Question

Convert 40° 20′ into radian measure.

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Answer

We know that 180° = $\pi$ radians
Hence, 40° 20′ = $\begin{equation} 40 \frac{1}{3} \text { degree }=\frac{\pi}{180} \times \frac{121}{3} \text { radian }=\frac{121 \pi}{540} \text { radian } \end{equation}$
Therefore, we have
40° 20′ = $\begin{equation} \frac{121 \pi}{540} \end{equation}$ radian

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